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12128384 = 27194987
BaseRepresentation
bin101110010001…
…000010000000
3211211012000102
4232101002000
511101102014
61111541532
7205042502
oct56210200
924735012
1012128384
116934264
12408a8a8
132688578
141879d72
1510e88de
hexb91080

12128384 has 32 divisors (see below), whose sum is σ = 25438800. Its totient is φ = 5743872.

The previous prime is 12128381. The next prime is 12128387. The reversal of 12128384 is 48382121.

It is an interprime number because it is at equal distance from previous prime (12128381) and next prime (12128387).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12128381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 4925.

Almost surely, 212128384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719400).

12128384 is an abundant number, since it is smaller than the sum of its proper divisors (13310416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12128384 is an equidigital number, since it uses as much as digits as its factorization.

12128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5008 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 12128384 is about 3482.5829494787. The cubic root of 12128384 is about 229.7564150867.

The spelling of 12128384 in words is "twelve million, one hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 4987 9974 19948 39896 79792 94753 159584 189506 319168 379012 638336 758024 1516048 3032096 6064192 12128384